The spring, initially at rest, was compressed by the blue box by 0.15 m. The spring constant of the spring is 300 N/m. The mass of the box was 0.2 kg. What is the max height of the box when it comes to rest on the ramp

1.72m

Explanation:

Step 1:

Data obtained from the question.

Displacement (x) = 0.15 m

Spring constant (K) = 300 N/m

Mass (m) = 0.2 kg

Height (h) =?

Step 2:

Determination of the energy in the spring.

The energy is a spring can be obtained by the following equation:

E = 1/2 kx^2

E = 1/2 x 300 x 0.15^2

E = 150 x 0.0225

E = 3.375J

Step 3:

Determination of the maximum height.

At maximum height, the energy stored is the spring is equal to the potential energy i.e

Energy stored in the string = potential energy

E = P.E

Recall:

Potential energy = mgh

Where:

m is the mass = 0.2kg

g is the acceleration due to gravity = 9.8m/s2

h is the height. =?

Potential energy (P.E) = 3.375J

PE = mgh

3.375 = 0.2 x 9.8 x h

Divide both side by 0.2 x 9.8

h = 3.375/ (0.2 x 9.8)

h = 1.72m

Therefore, the maximum height of the box is 1.72m

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."

answergravity;